9385540641 has 27 divisors (see below), whose sum is σ = 13898006577. Its totient is φ = 6103377000.

The previous prime is 9385540639. The next prime is 9385540651. The reversal of 9385540641 is 1460455839.

The square root of 9385540641 is 96879.

It is a perfect power (a square), and thus also a powerful number.

9385540641 is a `hidden beast` number, since 9 + 38 + 554 + 0 + 64 + 1 = 666.

It is not a de Polignac number, because 9385540641 - 2¹ = 9385540639 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9385540601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12497016 + ... + 12497766.

Almost surely, 2^9385540641 is an apocalyptic number.

9385540641 is the 96879-th square number.

9385540641 is the 48440-th centered octagonal number.

It is an amenable number.

9385540641 is a deficient number, since it is larger than the sum of its proper divisors (4512465936).

9385540641 is an frugal number, since it uses more digits than its factorization.

9385540641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The cubic root of 9385540641 is about 2109.3716180199.

The spelling of 9385540641 in words is "nine billion, three hundred eighty-five million, five hundred forty thousand, six hundred forty-one".